FCNC transition of $B$ to $a_1$ with LCSR

TL;DR

This paper calculates the form factors for the rare FCNC $B o a_1$ decays using light-cone sum rules, providing predictions for decay observables and comparing with other theoretical approaches.

Contribution

It introduces a detailed calculation of $B o a_1$ transition form factors up to twist-4 using LCSR, enhancing understanding of these rare decays.

Findings

Predicted branching ratios for $B o a_1 u ar{ u}$ and $B o a_1 au^+ au^-$.

Calculated forward-backward asymmetry in $B o a_1 o ext{final states}$.

Compared results with other theoretical models, showing consistency and differences.

Abstract

The $B\to a_1 \ell^+ \ell^-$ decays occur by the electroweak penguin and box diagrams which can be performed through the flavor changing neutral current (FCNC). We calculate the form factors of the FCNC $B \to a_1$ transitions in the light--cone sum rules approach, up to twist--4 distribution amplitudes of the axial vector meson $a_1$. Forward--backward asymmetry, as well as branching ratios of $B\to a_1\ell^{+}\ell^{-}$, and $B\to a_1 \gamma$ decays are considered. A comparison is also made between our results and the predictions of other methods.